# Guy Melançon - Enseignement

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miage_solution:solution_kodja_markov_2_etats

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 miage_solution:solution_kodja_markov_2_etats [2017/01/08 19:42]melancon miage_solution:solution_kodja_markov_2_etats [2018/01/21 20:13] (current)melancon Both sides previous revision Previous revision 2018/01/21 20:13 melancon 2017/01/08 19:42 melancon 2017/01/08 19:41 melancon created 2018/01/21 20:13 melancon 2017/01/08 19:42 melancon 2017/01/08 19:41 melancon created Line 20: Line 20:  - P(X_1 = 0 | X_0 = 0, X_2 = 0) = \frac{P(X_1 = 0 \& X_0 = 0 \& X_2 = 0)}{P(X_0 = 0 \& X_2 = 0)} + P(X_1 = 0 | X_0 = 0, X_2 = 0) = \frac{P(X_1 = 0 \cap X_0 = 0 \cap X_2 = 0)}{P(X_0 = 0 \cap X_2 = 0)}  Line 26: Line 26:  - P(X_0 = 0 \& X_2 = 0) = P(X_0 = 0 \& X_1 = 0 \& X_2 = 0) + P(X_0 = 0 \& X_1 = 1 \& X_2 = 0) + P(X_0 = 0 \cap X_2 = 0) = P(X_0 = 0 \cap X_1 = 0 \cap X_2 = 0) + P(X_0 = 0 \cap X_1 = 1 \cap X_2 = 0)  Line 32: Line 32:  - P(X_1 = 0 | X_0 = 0, X_2 = 0) = \frac{P(X_1 = 0 \& X_0 = 0 \& X_2 = 0)}{P(X_0 = 0 \& X_1 = 0 \& X_2 = 0) + P(X_0 = 0 \& X_1 = 1 \& X_2 = 0)} + P(X_1 = 0 | X_0 = 0, X_2 = 0) = \frac{P(X_1 = 0 \cap X_0 = 0 \cap X_2 = 0)}{P(X_0 = 0 \cap X_1 = 0 \cap X_2 = 0) + P(X_0 = 0 \cap X_1 = 1 \cap X_2 = 0)}  Line 38: Line 38:  - P(X_2 = 0 \& X_1 = 0 \& X_0 = 0) = P(X_2 = 0 | X_1 = 0) P(X_1 = 0 | X_0 = 0) P(X_0 = 0) + P(X_2 = 0 \cap X_1 = 0 \cap X_0 = 0) = P(X_2 = 0 | X_1 = 0) P(X_1 = 0 | X_0 = 0) P(X_0 = 0)   - P(X_2 = 0 \& X_0 = 1 \& X_0 = 0) = P(X_2 = 0 | X_1 = 1) P(X_1 = 1 | X_0 = 0) P(X_0 = 0) + P(X_2 = 0 \cap X_0 = 1 \cap X_0 = 0) = P(X_2 = 0 | X_1 = 1) P(X_1 = 1 | X_0 = 0) P(X_0 = 0)  Line 63: Line 63: [[miage:​td_analytique|Retourner au TD]] [[miage:​td_analytique|Retourner au TD]] +